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math.AP2019★ 7 cited
Nonlinear Perturbations of a periodic magnetic Choquard equation with Hardy-Littlewood-Sobolev critical exponent
Hamilton Bueno, Narciso Lisboa, Leandro Vieira
In this paper, we consider the following magnetic nonlinear Choquard equation \[-(\nabla+iA(x))^2u+ V(x)u = \left(\frac{1}{|x|^α}*|u|^{2_α^*}\right) |u|^{2_α^*-2} u + λf(u)\ \textr…
math.AP2019
Existence, regularity, asymptotic decay and radiality of solutions to some extension problems
Hamilton Bueno, Aldo H. S. Medeiros, G. A. Pereira
Supposing only that and , for some ,…